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Choose the correct alternative : For the following three statements p : 2 is an even number. q : 2 is a prime number. r : Sum of two prime numbers is always even. Then, the symbolic statement (p ∧ q) - Mathematics and Statistics

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Question

Choose the correct alternative :

For the following three statements
p : 2 is an even number.
q : 2 is a prime number.
r : Sum of two prime numbers is always even.
Then, the symbolic statement (p ∧ q) → ∼ r means.

Options

  • 2 is an even and prime number and the sum of two prime numbers is always even.

  • 2 is an even and prime number and the sum of two prime numbers is not always even.

  • If 2 is an even and prime number, then the sum of two prime numbers is not always even.

  • If 2 is an even and prime number, then the sum of two prime numbers is also even.

MCQ

Solution

If 2 is an even and prime number, then the sum of two prime numbers is not always even.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 29]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.05 | Page 29

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